How do you say what is your pet’s name in Spanish?

To ask someone what their pet’s name is in Spanish, you can say either “¿Cómo se llama su mascota?” or “¿Cuál es el nombre de su mascota?”

If you also want to know what the pet owner’s name is, you can ask them, “¿Cuál es tu nombre?” which is one of many ways to ask someone their name in Spanish.